R Notebook, showing the functionality of the scMoC for clustering multi-omics data specifically for scRNA-seq data and scATAC-seq data for paired datasets (i.e. measured for exact same cell). This notebook used sci-CAR data for Mouse kideny as example to work on. Other notebooks shows the same flow on different datasets.

1- Let’s start

We start with loading the scMoC functions as well as libraries needed to process this notebook

# Load dependencies
if (!require("pacman")) install.packages("pacman")
Loading required package: pacman
pacman::p_load(Seurat,dplyr,patchwork,repr,Matrix,qdapTools,FNN,
               ggplot2,gplots,broman,BiocManager,limma,mclust,
               cluster,OmicsMarkeR,abind,corrplot,svglite,EnhancedVolcano)
source("R/scmoc.R")
marker_genes <- read.csv("R/marker_genes_list.csv",header = FALSE,stringsAsFactors=FALSE)

white <- brocolors("crayons")["White"]
blue <- brocolors("crayons")["Cerulean"]
my_palette<- colorRampPalette(c(white,blue))(n=100)

Some globale variable definitions

# sci-CAR Variables 
MinCellsGenes = 3
MinFeat       = 200
MinCellsPeaks = 3
N_PCs         = 20
N_Neighbours  = 50
Max_N_PCs     = 20
impute_NN     = 50
N_PC          = 20
N_LSI         = 20
N_genes       = 25 
N_peaks       = 15
RNA_clusters_res  = 0.8 
ATAC_clusters_res = 0.8

2- Load the data files

Read the sci-CAR data (The files can be downloaded from https://www.ncbi.nlm.nih.gov/geo/query/acc.cgi?acc=GSE117089)

##------------- Reading Raw Files -------------------------------------------------------
print ("Reading RNA files", quote=FALSE)
[1] Reading RNA files
rna_count_data  <- read.csv("GSM3271044_RNA_mouse_kidney_gene_count.txt",header = FALSE,skip = 2,sep = " ")
print (c("RNA Files -> Count data: ",nrow(rna_count_data)), quote=FALSE)
[1] RNA Files -> Count data:  7036187                  
rna_cell_data <- read.csv("GSM3271044_RNA_mouse_kidney_cell.txt", header=TRUE)
print (c("RNA Files -> Count data: ",nrow(rna_cell_data)), quote=FALSE)
[1] RNA Files -> Count data:  13893                    
rna_gene_data <- read.csv("GSM3271044_RNA_mouse_kidney_gene.txt",header = TRUE)
print (c("RNA Files -> Count data: ",nrow(rna_gene_data)), quote=FALSE)
[1] RNA Files -> Count data:  49584                    
tmp_rna <- matrix(0L, nrow = nrow(rna_gene_data),ncol = nrow(rna_cell_data))

print(c("Creating Zero Matrix with dim : ", dim(tmp_rna)),quote = FALSE)
[1] Creating Zero Matrix with dim :  49584                           
[3] 13893                           
for (i in 1:nrow(rna_count_data)){
  tmp_rna[rna_count_data[i,1],rna_count_data[i,2]] =  rna_count_data[i,3]
  }
print(c("RNA Files -> Data Sparsity = ", round(
  nrow(rna_count_data)*100/(nrow(rna_cell_data) * nrow(rna_gene_data)),2),"%"),quote=FALSE)
[1] RNA Files -> Data Sparsity =  1.02                         
[3] %                            
rna_sparce_mat <- Matrix(tmp_rna, sparse = TRUE)
colnames(rna_sparce_mat) <- rna_cell_data[,1]
rownames(rna_sparce_mat) <- rna_gene_data[,3]


## Reading ATAC files 
print ("Reading ATAC files", quote=FALSE)
[1] Reading ATAC files
atac_count_data  <- read.csv("GSM3271045_ATAC_mouse_kidney_peak_count.txt",header = FALSE,skip = 2,sep = " ")
print (c("ATAC Files -> Count data: ",nrow(atac_count_data)), quote=FALSE)
[1] ATAC Files -> Count data:  9448526                   
atac_cell_data <- read.csv("GSM3271045_ATAC_mouse_kidney_cell.txt", header=TRUE)
print (c("ATAC Files -> Count data: ",nrow(atac_cell_data)), quote=FALSE)
[1] ATAC Files -> Count data:  13395                     
atac_gene_data <- read.csv("GSM3271045_ATAC_mouse_kidney_peak.txt",header = TRUE)
print (c("ATAC Files -> Count data: ",nrow(atac_gene_data)), quote=FALSE)
[1] ATAC Files -> Count data:  252741                    
tmp_atac <- matrix(0L, nrow = nrow(atac_gene_data),ncol = nrow(atac_cell_data))
print(c("Creating Zero Matrix with dim : ", dim(tmp_atac)),quote = FALSE)
[1] Creating Zero Matrix with dim :  252741                          
[3] 13395                           
for (i in 1:nrow(atac_count_data)){
  tmp_atac[atac_count_data[i,1],atac_count_data[i,2]] =  atac_count_data[i,3]
  }
  
print(c("ATAC Files -> Data Sparsity = ", round(
  nrow(atac_count_data)*100/(nrow(atac_cell_data) * nrow(atac_gene_data)),2),"%"),quote=FALSE)
Warning in nrow(atac_cell_data) * nrow(atac_gene_data): NAs produced by
integer overflow
[1] ATAC Files -> Data Sparsity =  <NA>                          
[3] %                             
atac_sparce_mat <- Matrix(tmp_atac, sparse = TRUE)
colnames(atac_sparce_mat) <- atac_cell_data[,1]
rownames(atac_sparce_mat) <- atac_gene_data[,3]


## Find The Common Cells and Create Seurat Objects 

# Finding the Common Cells 
common_cells <-intersect(colnames(rna_sparce_mat), colnames(atac_sparce_mat))

# Creat Seuart Object for RNA
rna <- CreateSeuratObject(count=rna_sparce_mat[,common_cells], project = "sciCAR",
                            min.cells = MinCellsGenes, min.features = MinFeat)
Warning: Non-unique features (rownames) present in the input matrix, making
unique
Warning: Feature names cannot have underscores ('_'), replacing with dashes
('-')
# Creat Seurat Object for ATAC
atac <- CreateSeuratObject(count=atac_sparce_mat[,common_cells], project = "sciCAR",
                             min.cells = MinCellsPeaks)
Warning: Non-unique features (rownames) present in the input matrix, making
unique

Warning: Feature names cannot have underscores ('_'), replacing with dashes
('-')

3- Quality Control Step

Visualize QC metrics as a violin plot for RNA data

#Calculate the percentage of Mitrocondrial genes in the cell 
rna[["percent.mt"]] <- PercentageFeatureSet(rna, pattern = "^mt-")

# Visualize QC metrics as a violin plot for RNA data 
VlnPlot(rna, features = c("nFeature_RNA", "nCount_RNA", "percent.mt"), ncol = 3)

plot1 <- FeatureScatter(rna, feature1 = "nCount_RNA", feature2 = "percent.mt")
plot2 <- FeatureScatter(rna, feature1 = "nCount_RNA", feature2 = "nFeature_RNA")
plot1+plot2

Visualize QC metrics as a violin plot for ATAC data

# Visualize QC metrics as a violin plot
VlnPlot(atac, features = c("nFeature_RNA", "nCount_RNA"), ncol = 2)

According to the figures we set the thresholds of the data as follows :

First for RNA:

1- Remove cells that contains more than 30% Mito Data

2- Remove cells that have less than 200 different genes [almost empty cells]

3- Remove cells that have more than 2500 different genes[noisy cells]

rna <- subset(rna, subset = nFeature_RNA > 200 & nFeature_RNA < 2500 & percent.mt < 30)

Second for ATAC

1- Remove cells that have less than 4000 different peaks [almost empty cells]

2- Remove cells that have more than 10000 different peaks[noisy cells]

atac <- subset(atac, subset = nFeature_RNA < 4000 & nCount_RNA < 10000 )

Select only common cells that passes both QC task

common_cells <-intersect(colnames(rna), colnames(atac))
rna <- rna[,common_cells]
atac <- atac[,common_cells]

4- Process the RNA data

# 1- Normailize
print("RNA Data: Making Normailization")
[1] "RNA Data: Making Normailization"
rna <- NormalizeData(rna, normalization.method = "LogNormalize", scale.factor = 10000)

# 2- Select Top variable genes 
print("RNA Data: Finding Top Variable Genes")
[1] "RNA Data: Finding Top Variable Genes"
rna <- FindVariableFeatures(rna, selection.method = "vst", nfeatures = 6000)

# 3- Do the processing 
print("RNA Data: Going to Processing function ")
[1] "RNA Data: Going to Processing function "
rna <- process.object(rna,do_scaling = TRUE)
[1] "Processing Function: Scaling Data"
Centering and scaling data matrix
# 4- Do PCA on the highly Variable genes only 
print("RNA Data: Going to Processing function ")
[1] "RNA Data: Going to Processing function "
rna <- RunPCA(rna, features = VariableFeatures(object = rna))
PC_ 1 
Positive:  Fut9, Ghr, Keg1, Cyp4b1, Gm19950, Gk, RP23-306P12.3, Slco1a6, Bnc2, Slc13a1 
       Cyp2j13, Gramd1b, St8sia1, Slc7a13, Ndrg1, Phyhipl, Slc13a3, Slc16a2, Ces1f, Kcnk5 
       Slc18a1, Fgf1, Hsd3b2, Pecr, Sox2ot, Ctnna2, Cd36, Nr1h4, Zeb2, Gss 
Negative:  Mecom, Erbb4, Slit2, Slc16a7, Cacnb4, Rgs6, Phactr1, Egf, Nr3c2, Abca13 
       Prdm16, Slc12a1, Slc8a1, Stox2, Nckap5, Efna5, Stk39, Pde7b, Slc5a3, Slc12a3 
       Rap1gap2, Tmem117, Kng2, Utrn, Frmpd4, Maml3, Ipcef1, Tox3, Nbea, Tacc1 
PC_ 2 
Positive:  Slc12a1, mt-Rnr1, mt-Rnr2, Slc5a12, Egf, Magi2, Erbb4, Umod, Cacnb4, Abca13 
       Gatm, Gabrb3, Sgcz, Ndrg1, Ldb2, Bnc2, Meis2, Tenm2, Slc7a7, Alpl 
       Ptger3, Rn18s-rs5, Tshz2, Fbxl7, Slc2a13, Ebf1, Egfl6, Tmem207, Dlc1, Wipf1 
Negative:  Slc4a9, Slc26a4, Atp6v0d2, Lsamp, Pde4b, Gm12121, Atp6v1c2, Syn2, Tmem117, Rcan2 
       Insrr, Alcam, Tmem163, Plcg2, Rp1, Thsd7a, Bmpr1b, Ralgapa2, Ccbe1, Zcchc16 
       Clnk, Malrd1, Prkca, Naaladl2, Irs1, Nbea, Plxna4, Hepacam2, Sh2d4b, Fam65b 
PC_ 3 
Positive:  Cyp7b1, Slc7a13, Mep1b, Aadat, Esr1, Chrm3, Rnf24, Gm43158, Gpm6a, Fgf1 
       C8a, Crot, Myo5a, Cd36, Slc6a18, Bcat1, Satb2, Slc22a7, Mep1a, Slc22a19 
       Ppm1e, Gramd1b, Wdr17, Acox2, Gclc, Gm853, A330033J07Rik, Atp8b4, Ccdc162, Ido2 
Negative:  Slc5a12, Car12, Bnc2, Itpr2, Gatm, Ndrg1, Magi2, Gabrb3, Slc13a1, Slc22a23 
       RP23-312B17.2, Alpl, Slc7a7, Slc16a14, Slc7a8, Angpt1, Enpp2, Tmem108, Stxbp5l, D630023F18Rik 
       Slc4a9, Phyhipl, Maf, Cyp4b1, Folh1, Slc26a4, Slc6a19, Ccdc141, Fut9, Lipa 
PC_ 4 
Positive:  Slc12a3, Abca13, Trpm6, Klhl3, Wnk1, Cacnb4, Tsc22d1, Sgms2, Egf, Magi2 
       Slc8a1, Dach1, Erbb4, Calb1, Kng2, Ccdc141, Kctd1, Cadps2, Slc16a7, Tox3 
       Atp1a1, Mecom, Slit2, Arnt2, Rgs6, Cyfip2, Prkd1, Efna5, Acss3, Cdk14 
Negative:  Slc4a9, Slc26a4, Atp6v0d2, Gm12121, mt-Rnr1, Rcan2, mt-Rnr2, Pde4b, Lsamp, Tshz2 
       Syn2, Insrr, Atp6v1c2, Ldb2, Meis2, Dlc1, Prkg1, Plcg2, Thsd7a, Tmem163 
       Ccbe1, Ebf1, Rp1, Adgrf5, Clnk, Alcam, Tmem117, Plpp1, Plxna4, Rbms3 
PC_ 5 
Positive:  Egf, Slc4a9, Slc26a4, Abca13, Slc12a1, Atp6v0d2, Zcchc16, Slc16a7, Atp6v1c2, Gm12121 
       Pde4b, Insrr, Lsamp, Syn2, Umod, Tmem163, Irs1, Tmem72, Rp1, Slc12a3 
       Kng2, Casr, Plcg2, Rcan2, Ptger3, Malrd1, Erbb4, Cacnb4, Rap1gap2, Rgs6 
Negative:  Frmpd4, Rbms3, Fxyd4, Pde8b, Tmem45b, Pde1c, Samd12, Npnt, Gpc5, Rasgrf2 
       Phactr1, Dnm3, Mgat4c, Aqp4, Styk1, Aim1, Frem2, Col26a1, Srgap3, Stard13 
       Tmem150c, Bmpr1b, Atp8a1, 5730508B09Rik, Gata3, Btc, Tshz2, Ehf, Pde7b, Hacd4 
# 5- Cluster the RNA data 
rna <- FindNeighbors(rna, dims = 1:N_PCs,k.param=N_Neighbours)
Computing nearest neighbor graph
Computing SNN
rna <- FindClusters(rna, resolution = RNA_clusters_res,algorithm = 1)
Modularity Optimizer version 1.3.0 by Ludo Waltman and Nees Jan van Eck

Number of nodes: 9080
Number of edges: 843341

Running Louvain algorithm...
Maximum modularity in 10 random starts: 0.8524
Number of communities: 15
Elapsed time: 2 seconds
# 6- Project to the UMAP 
rna <- RunUMAP(rna, dims = 1:N_PCs)
Warning: The default method for RunUMAP has changed from calling Python UMAP via reticulate to the R-native UWOT using the cosine metric
To use Python UMAP via reticulate, set umap.method to 'umap-learn' and metric to 'correlation'
This message will be shown once per session
16:56:06 UMAP embedding parameters a = 0.9922 b = 1.112
16:56:06 Read 9080 rows and found 20 numeric columns
16:56:06 Using Annoy for neighbor search, n_neighbors = 30
16:56:06 Building Annoy index with metric = cosine, n_trees = 50
0%   10   20   30   40   50   60   70   80   90   100%
[----|----|----|----|----|----|----|----|----|----|
**************************************************|
16:56:08 Writing NN index file to temp file /tmp/RtmpcMXYtB/file20abb496e77b
16:56:08 Searching Annoy index using 1 thread, search_k = 3000
16:56:12 Annoy recall = 100%
16:56:12 Commencing smooth kNN distance calibration using 1 thread
16:56:13 Initializing from normalized Laplacian + noise
16:56:14 Commencing optimization for 500 epochs, with 392706 positive edges
16:56:49 Optimization finished
options(repr.plot.width=6 , repr.plot.height=6)
DimPlot(rna, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

5- Process the ATAC data

# 1- Normailize
print("ATAC Data: Making Normailization")
[1] "ATAC Data: Making Normailization"
atac <- NormalizeData(atac, normalization.method = "LogNormalize", scale.factor = 10000)
# 2- Do the processing 
print("ATAC Data: Going to Processing function ")
[1] "ATAC Data: Going to Processing function "
atac <- process.object(atac,do_scaling = TRUE, do_PCA = TRUE, do_LSI = TRUE)
[1] "Processing Function: Scaling Data"
Centering and scaling data matrix
[1] "Processing Function: Calculating PCA"
Warning in PrepDR(object = object, features = features, verbose = verbose):
The following 18 features requested have zero variance (running reduction
without them): chr1.17279, chr10.12112, chr14.16, chr14.95, chr2.4332,
chr2.9489, chr2.16550, chr3.106, chr5.11249, chr7.3636, chr8.5234, chrX.
2065, chrX.2190, chrX.2521, chrX.4110, chrX.4127, chrX.4975, chrY.274
PC_ 1 
Positive:  chrUn-JH584304.24, chr3.140, chr9.2, chr5.15319, chr9.14010, chr17.4484, chr11.13342, chrX.5319, chr15.5362, chr1.18288 
       chr16.5778, chr9.20, chrUn-GL456396.1, chr9.32, chr19.6629, chr9.1, chr9.13, chr18.5839, chr9.33, chrUn-JH584304.27 
       chr9.18, chr4.5085, chr16.809, chr9.30, chrUn-JH584304.43, chr2.279, chr9.24, chr16.3943, chr9.37, chr9.29 
Negative:  chr2.10376, chr2.10377, chr17.4840, chr14.1099, chr14.1100, chr19.543, chr8.8730, chr2.1871, chrX.5396, chr4.8951 
       chr4.13810, chrX.1983, chr2.8974, chr9.3251, chrX.4590, chr2.13651, chr15.3213, chr1.12646, chr6.10992, chrX.3013 
       chr15.3182, chrY.924, chr8.2765, chrUn-GL456383.9, chr5.7168, chr11.10639, chr3.11439, chrX.633, chrX.5610, chrX.6021 
PC_ 2 
Positive:  chr2.10376, chr2.10377, chr17.4840, chr14.1099, chr14.1100, chr9.2707, chr14.1097, chrUn-GL456392.8, chr6.9903, chrUn-GL456389.5 
       chr4.8951, chr6.13135, chr2.7215, chr8.5002, chr2.13651, chr10.1892, chrX.5396, chr1.3638, chr17.7989, chrY.1286 
       chr4.6718, chr9.12920, chr1.13782, chr7.6007, chr8.5608, chr18.2000, chr1.17643, chr3.7269, chr6.13134, chr9.2805 
Negative:  chrUn-JH584304.24, chr7.2396, chr17.6535, chr6.12094, chr8.172, chr15.8918, chr11.12079, chr11.13430, chr2.3935, chr19.777 
       chr6.8341, chr7.14542, chr5.13002, chr13.3961, chr16.4566, chr2.3788, chr17.6380, chr17.4031, chr14.5832, chr11.1662 
       chr9.14138, chr15.7175, chr8.2200, chr16.4239, chr13.4796, chr7.1464, chr5.10024, chr14.4814, chr7.2908, chr2.4222 
PC_ 3 
Positive:  chr2.10377, chr2.10376, chr14.1100, chr14.1099, chr14.1097, chr9.2707, chr8.8730, chr7.4817, chr13.3163, chr9.14138 
       chr9.37, chrUn-GL456392.8, chr7.1843, chr3.9511, chr11.6151, chr10.11564, chr5.12113, chr17.2948, chr8.12222, chr6.8341 
       chr7.5257, chr14.1101, chr4.6724, chr5.6789, chr8.11579, chr8.6264, chr14.4177, chrUn-JH584304.45, chr16.4566, chr15.8918 
Negative:  chr17.4840, chr11.13342, chr3.140, chr9.14010, chr16.5778, chr5.15319, chr16.809, chr17.4839, chr17.4484, chr6.14 
       chr13.4911, chr17.4841, chr18.5839, chr2.279, chr12.5319, chr13.3680, chr17.7521, chr2.1882, chr9.50, chr7.15097 
       chr6.4270, chr1.18288, chrUn-JH584304.24, chr11.4950, chr16.3943, chr9.12238, chr13.4910, chr4.9343, chr19.6629, chr13.9817 
PC_ 4 
Positive:  chr17.4840, chr2.10376, chrUn-JH584304.45, chr16.5778, chr11.13342, chr5.15319, chr2.10377, chr9.2707, chr14.1098, chr14.1100 
       chr14.1099, chrUn-JH584304.25, chr9.14010, chr9.29, chrUn-JH584304.32, chr9.12238, chrUn-GL456389.5, chr9.20, chr3.140, chr9.50 
       chr14.1097, chrUn-JH584304.27, chr17.4839, chrUn-GL456392.8, chr14.1101, chrX.5319, chr9.22, chr9.17, chr9, chr16.809 
Negative:  chr4.4129, chr3.441, chr1.12779, chr18.4299, chr11.9229, chr15.1189, chr6.1987, chr14.8104, chr13.5298, chr11.4637 
       chr5.11647, chr1.1366, chr15.6494, chr4.3027, chr7.2581, chr13.8478, chr5.901, chr6.7484, chr12.2732, chr2.8239 
       chr4.10623, chr6.12947, chr5.6268, chr16.4955, chr13.6718, chr18.5959, chr18.1631, chr1.10079, chr13.1165, chr1.11290 
PC_ 5 
Positive:  chr2.10377, chr2.10376, chr14.1100, chr14.1099, chr14.1097, chr9.2707, chr9.20, chr9.30, chr14.1101, chrUn-JH584304.35 
       chrUn-GL456392.8, chr9.17, chr14.1098, chrUn-GL456389.5, chr9.22, chrUn-JH584304.46, chr9.1, chrUn-JH584304.45, chr9, chr12.5 
       chrUn-JH584304.29, chr9.29, chrUn-JH584304.43, chr16.4769, chr10.3687, chr9.37, chr13.6804, chr9.19, chr2.8133, chr3.11150 
Negative:  chr18.1158, chr7.12444, chr8.9544, chr7.15636, chr12.1679, chr15.2983, chr9.2390, chr12.985, chr1.8651, chr17.209 
       chr4.8651, chr10.6488, chr9.11151, chr11.8423, chr11.1655, chr2.316, chr18.6773, chr3.763, chr5.2512, chr8.8271 
       chr16.3924, chr15.2399, chr1.13608, chr7.6175, chr11.14759, chr10.7206, chr4.4494, chr11.10994, chr13.1036, chr15.5491 
[1] "Processing Function: Calculating LSI"
Warning: RunLSI is being moved to Signac. Equivalent functionality can be
achieved via the Signac::RunTFIDF and Signac::RunSVD functions; for more
information on Signac, please see https://github.com/timoast/Signac
Warning: RunLSI is being moved to Signac. Equivalent functionality can be
achieved via the Signac::RunTFIDF and Signac::RunSVD functions; for more
information on Signac, please see https://github.com/timoast/Signac

Warning: RunLSI is being moved to Signac. Equivalent functionality can be
achieved via the Signac::RunTFIDF and Signac::RunSVD functions; for more
information on Signac, please see https://github.com/timoast/Signac
Performing TF-IDF normalization
Running SVD on TF-IDF matrix
Scaling cell embeddings
# 3 - Cluster the ATAC data 
atac <- FindNeighbors(atac, dims = 1:N_PCs,k.param=N_Neighbours,reduction ='lsi' )
Computing nearest neighbor graph
Computing SNN
atac <- FindClusters(atac, resolution = ATAC_clusters_res,algorithm = 1)
Modularity Optimizer version 1.3.0 by Ludo Waltman and Nees Jan van Eck

Number of nodes: 9080
Number of edges: 397754

Running Louvain algorithm...
Maximum modularity in 10 random starts: 0.7995
Number of communities: 9
Elapsed time: 1 seconds
table(atac$seurat_clusters)

   0    1    2    3    4    5    6    7    8 
3180 2043 1749 1023  469  203  147  142  124 
#Copy the clustering output to another meta data location to avoid overwritting 
atac$seurat_clusters_lsi <- atac$seurat_clusters

# 4- Project to the UMAP 
atac <- RunUMAP(atac, dims = 1:N_PCs,reduction = "lsi")
17:18:51 UMAP embedding parameters a = 0.9922 b = 1.112
17:18:51 Read 9080 rows and found 20 numeric columns
17:18:51 Using Annoy for neighbor search, n_neighbors = 30
17:18:51 Building Annoy index with metric = cosine, n_trees = 50
0%   10   20   30   40   50   60   70   80   90   100%
[----|----|----|----|----|----|----|----|----|----|
**************************************************|
17:18:53 Writing NN index file to temp file /tmp/RtmpcMXYtB/file20abb7eab4ff6
17:18:53 Searching Annoy index using 1 thread, search_k = 3000
17:18:57 Annoy recall = 100%
17:19:00 Commencing smooth kNN distance calibration using 1 thread
17:19:01 Initializing from normalized Laplacian + noise
17:19:02 Commencing optimization for 500 epochs, with 366294 positive edges
17:19:36 Optimization finished
DimPlot(atac, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

# 5- Re-color the ATAC UMAP with the RNA cluster

atac$orig_clusters <- atac$seurat_clusters
atac@active.ident<- rna$seurat_clusters

# Plot the UMAP 
DimPlot(atac, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

atac$active.ident <- atac$orig_clusters

6- Impute ATAC data using RNA-guided imputation

# 1- Do imputation 
pca_embeed <- Embeddings(rna)
out =knn.index(pca_embeed, k=impute_NN)

print("ATAC RNA-PCA Impute: Doing the imputation ")
[1] "ATAC RNA-PCA Impute: Doing the imputation "
atac_impute <- GetAssayData(atac)                    #Create zero array with the same dim. of the data
atac_data <- GetAssayData(atac)

atac_impute <- do.imputation(out,atac_data,atac_impute)

# 2 - Do processing 
print("ATAC RNA-PCA Impute: Going to Processing function ")
[1] "ATAC RNA-PCA Impute: Going to Processing function "
atac_rna_guided <- CreateSeuratObject(count=atac_impute, project = "sciCAR")
atac_rna_guided<- process.object(atac_rna_guided, do_scaling = TRUE, do_PCA = TRUE, do_LSI = TRUE)
[1] "Processing Function: Scaling Data"
Centering and scaling data matrix
[1] "Processing Function: Calculating PCA"
Warning in PrepDR(object = object, features = features, verbose = verbose):
The following 18 features requested have zero variance (running reduction
without them): chr1.17279, chr10.12112, chr14.16, chr14.95, chr2.4332,
chr2.9489, chr2.16550, chr3.106, chr5.11249, chr7.3636, chr8.5234, chrX.
2065, chrX.2190, chrX.2521, chrX.4110, chrX.4127, chrX.4975, chrY.274
PC_ 1 
Positive:  chr3.140, chr9.14010, chr17.4840, chr13.4911, chr18.5839, chr11.13342, chr16.809, chr17.4839, chr5.15319, chr16.5778 
       chr17.4484, chr17.4841, chr12.5319, chr17.7521, chr6.14, chr8.1337, chr2.279, chr6.4270, chr9.12238, chr1.18288 
       chr7.15097, chr2.1882, chr13.3680, chr13.4910, chr4.9343, chr19.6629, chr3.4551, chr16.3943, chr19.725, chrUn-JH584304.24 
Negative:  chr1.11409, chr5.6789, chr5.14541, chr9.14138, chr5.13549, chr14.8731, chr3.6758, chr4.8042, chr4.8648, chr14.9056 
       chr11.14603, chr2.10377, chr10.11653, chr15.3442, chr1.614, chr18.1417, chr4.14813, chr1.11569, chr11.1079, chr8.6137 
       chr2.17548, chr13.4328, chr8.2274, chr3.1873, chr9.37, chr9.4096, chr18.3037, chr7.1715, chr10.6733, chr7.10310 
PC_ 2 
Positive:  chr11.4950, chrUn-JH584304.24, chr17.83, chr16.2249, chr19.211, chr7.494, chr11.4783, chr19.814, chr4.10424, chr11.7159 
       chr3.8565, chr1.14195, chr12.7552, chr8.9485, chr7.13165, chr2.18148, chr15.7249, chr4.14566, chr1.6176, chr11.9845 
       chr4.15180, chr11.6170, chr2.2330, chr10.3231, chr17.7836, chr17.4377, chr7.1754, chr18.174, chr11.6657, chr9.9299 
Negative:  chr2.10376, chr2.10377, chr14.1099, chr14.1100, chrUn-GL456389.5, chr14.1097, chr9.2707, chr6.13135, chr8.5002, chrUn-GL456392.8 
       chr6.9903, chr14.1098, chr8.345, chr17.6146, chr8.10250, chr11.3486, chr4.9101, chr9.32, chr13.1563, chrUn-JH584304.32 
       chrUn-JH584304.43, chr2.6904, chr9.13088, chr5.13481, chr12.5, chr14.7886, chr10.779, chr5.7810, chr10.5228, chr10.6126 
PC_ 3 
Positive:  chr7.9163, chr11.1337, chr2.13103, chr17.794, chr2.16397, chr5.8354, chr5.12536, chr13.1875, chr11.15144, chr11.3172 
       chr4.8042, chr1.6596, chr7.16443, chr5.3254, chr2.15173, chr2.9630, chr8.2198, chr10.1250, chr11.11456, chr5.12234 
       chr14.2356, chr6.908, chr15.9015, chrX.5946, chr12.7976, chr7.3173, chr12.8442, chr7.16039, chr7.10727, chr3.11521 
Negative:  chr2.5865, chr9.96, chrX.4239, chr6.7702, chr11.2964, chr8.9288, chr17.1871, chr6.9947, chr8.10651, chr12.9286 
       chr15.3324, chr16.6538, chr1.2765, chr14.6921, chr19.6344, chr7.732, chr16.5458, chr19.6470, chr1.16099, chr2.17419 
       chr9.8889, chrX.6369, chr3.13906, chr15.8275, chr15.9110, chr12.2302, chr11.839, chr2.8857, chr12.4174, chr7.8855 
PC_ 4 
Positive:  chr13.4829, chrX.6243, chr10.4513, chr1.10717, chr6.4756, chr12.924, chr2.5865, chrX.4239, chr6.9947, chr12.3959 
       chr11.2964, chr15.3324, chr3.3724, chr1.16099, chr15.9110, chr8.9288, chr8.10651, chr10.2233, chr3.3419, chr10.3532 
       chr11.3816, chr17.1871, chr3.13906, chr12.9286, chr10.4602, chr9.8889, chr4.1837, chr4.5029, chr7.732, chr10.11411 
Negative:  chr11.6894, chr15.6798, chr3.11858, chr1.5110, chr11.701, chr14.2381, chr4.10999, chr1.16459, chr1.16271, chr6.12094 
       chr15.6787, chr14.5378, chr3.2518, chr8.248, chr15.1622, chr12.6124, chr7.16648, chr13.3567, chr4.11659, chr8.10625 
       chr14.9153, chr19.2766, chr10.1222, chr1.17836, chr4.11724, chr4.3972, chr1.6914, chr4.12829, chr2.18196, chr2.10458 
PC_ 5 
Positive:  chr8.5761, chr17.5224, chr4.9914, chr2.7683, chr18.2614, chr3.7546, chr7.11511, chr9.12077, chr13.4310, chr1.4004 
       chr15.2108, chr5.4085, chr7.6825, chr7.11766, chr1.4016, chr18.4784, chr6.6348, chr2.7392, chr2.5005, chr13.5099 
       chr11.12380, chr11.14475, chr14.4664, chr12.2904, chr8.2208, chrX.868, chr11.1646, chr8.10782, chr17.6688, chr11.7728 
Negative:  chr6.2906, chr7.16242, chr16.2117, chr4.8476, chr7.15757, chr8.901, chr16.2434, chr4.13504, chr7.13385, chr15.1980 
       chr9.4234, chr2.11117, chr1.6209, chr14.3802, chr3.6628, chr5.4951, chr19.264, chr15.4702, chr6.14513, chr2.8037 
       chr13.1700, chrY.2046, chr11.367, chr3.8453, chr11.5147, chr4.4705, chr14.336, chr19.189, chr1.7622, chr18.3244 
[1] "Processing Function: Calculating LSI"
Warning: RunLSI is being moved to Signac. Equivalent functionality can be
achieved via the Signac::RunTFIDF and Signac::RunSVD functions; for more
information on Signac, please see https://github.com/timoast/Signac
Warning: RunLSI is being moved to Signac. Equivalent functionality can be
achieved via the Signac::RunTFIDF and Signac::RunSVD functions; for more
information on Signac, please see https://github.com/timoast/Signac

Warning: RunLSI is being moved to Signac. Equivalent functionality can be
achieved via the Signac::RunTFIDF and Signac::RunSVD functions; for more
information on Signac, please see https://github.com/timoast/Signac
Performing TF-IDF normalization
Running SVD on TF-IDF matrix
Scaling cell embeddings
# 3- Measure Data sparsity 
x= sum(GetAssayData(atac_rna_guided$RNA)!=0)/ncol(atac_rna_guided)
y = 100/nrow(atac_rna_guided)
x*y
[1] 11.04943
# 4- Cluster the RNA-guided imputed ATAC data 

atac_rna_guided <- FindNeighbors(atac_rna_guided, dims = 1:N_PCs,k.param=N_Neighbours,reduction ='lsi' )
Computing nearest neighbor graph
Computing SNN
atac_rna_guided <- FindClusters(atac_rna_guided, resolution = ATAC_clusters_res,algorithm = 1)
Modularity Optimizer version 1.3.0 by Ludo Waltman and Nees Jan van Eck

Number of nodes: 9080
Number of edges: 563136

Running Louvain algorithm...
Maximum modularity in 10 random starts: 0.9106
Number of communities: 20
Elapsed time: 1 seconds
#Copy the clustering output to another meta data location to avoid overwritting 
atac_rna_guided$seurat_clusters_lsi <- atac_rna_guided$seurat_clusters

atac_rna_guided <- RunUMAP(atac_rna_guided, dims = 1:N_PCs,reduction = "lsi")
18:13:40 UMAP embedding parameters a = 0.9922 b = 1.112
18:13:40 Read 9080 rows and found 20 numeric columns
18:13:40 Using Annoy for neighbor search, n_neighbors = 30
18:13:40 Building Annoy index with metric = cosine, n_trees = 50
0%   10   20   30   40   50   60   70   80   90   100%
[----|----|----|----|----|----|----|----|----|----|
**************************************************|
18:13:49 Writing NN index file to temp file /tmp/RtmpcMXYtB/file20abbd0d26a6
18:13:49 Searching Annoy index using 1 thread, search_k = 3000
18:13:53 Annoy recall = 100%
18:13:53 Commencing smooth kNN distance calibration using 1 thread
18:13:54 Initializing from normalized Laplacian + noise
18:13:55 Commencing optimization for 500 epochs, with 331928 positive edges
18:14:25 Optimization finished
# 5- Draw the UMAP
DimPlot(atac_rna_guided, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

# 6- Recolor the RNA-guided imputed ATAC data with the RNA cluster
atac_rna_guided$orig_clusters <- atac_rna_guided$seurat_clusters
rna$orig_clusters <- rna$seurat_clusters
atac_rna_guided@active.ident<- rna$orig_clusters

DimPlot(atac_rna_guided, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

# 7- Create contingency table between both data
my_table_0 <- table(rna$seurat_clusters, atac_rna_guided$seurat_clusters)
rna_atac_impute_table<- prop.table(my_table_0, margin = 1)   

7- Fine Tune the Clusters

This is the Second major step of scMoC after imputing the Data , we fine tune the clusters

splitting<-which(rna_atac_impute_table> 0.1 & rna_atac_impute_table<0.9,arr.ind = TRUE)

# add a col. for the new cluster information
splitting<-cbind(splitting,NA)
colnames(splitting)[3]<-'New_cluster'

rna@active.ident<-rna$orig_clusters
rna_tmp <- as.numeric(rna$orig_clusters)
atac_tmp <- as.numeric(atac_rna_guided$orig_clusters)
for (i in 1: nrow(splitting))
    {
    new_lvl <- max(as.numeric(rna$orig_clusters)) + i -1
    rna@active.ident <- factor(rna@active.ident,levels = c(levels(rna@active.ident),new_lvl))
    rna@active.ident[intersect(which(rna_tmp == splitting[i,1]),which(atac_tmp==splitting[i,2]))] <- as.factor(new_lvl)
        splitting[i,3]<-new_lvl
}

#calc. the Distances to every cluster
dims <- 1:N_PCs
dist.matrix <-dist(x = Embeddings(object = rna[['pca']])[, dims], upper = TRUE, diag = TRUE)
tmp_dist <- as.matrix(dist.matrix)
cluster_dist <- matrix(0,ncol = max(as.numeric(rna@active.ident)),nrow = nrow(tmp_dist))
for (i in 1 : max(as.numeric(rna@active.ident)))
{
    cluster_dist[,i] <- apply(tmp_dist[rna@active.ident==(i-1),],2,mean)
}

#itterate over the clusters 
for (i in 1:max(rna_tmp))
    {
    # Check if the cluster has been split or not 
    tmp_splitting = splitting[which(splitting[,'row']==i),]
    if (length(tmp_splitting)>3)            # Has more than 1 reading 
        {
        print(i)
        tmp_cluster = apply(cluster_dist[rna@active.ident == (i-1),tmp_splitting[,3]],1,which.min)
        final_cluster <- tmp_splitting[,3][tmp_cluster]
        rna@active.ident[rna@active.ident == (i-1)] <- final_cluster
        
    }else if(length(tmp_splitting)>0)
        {
        final_cluster<- tmp_splitting[3]
        rna@active.ident[rna@active.ident == (i-1)] <- final_cluster
    }
}
[1] 1
[1] 2
[1] 3
[1] 4
[1] 5
[1] 7
[1] 8
[1] 9
[1] 12
[1] 13
# Sort the new clusters according to cluster size
unsorted_table <- (table(rna@active.ident))
sorted_table<-sort(unsorted_table [unsorted_table!=0] , decreasing = T)
mapping_table <- rownames(as.matrix(sorted_table))
mapping_table<- cbind(mapping_table,0:(length(mapping_table)-1))

# Re-assign the cells to the new clusters 
for (i in 1:length(rna@active.ident))
    {
    tmp_cell<-rna@active.ident[i]
    rna@active.ident[i] <- mapping_table[which(mapping_table[,1] == tmp_cell),2]
}
#Setting the cluster numbers to the already used clusters only 

rna@active.ident <- factor(rna@active.ident,levels = 0: (nrow(mapping_table)-1))



# Draw the UMAP with the scMoC clusters colors 

DimPlot(rna, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

8- Biological interpuration for the scMoC clsuters

rna.markers3 <- FindAllMarkers(rna, only.pos = TRUE, min.pct = 0.25, logfc.threshold = 0.25)
Calculating cluster 0
Calculating cluster 1
Calculating cluster 2
Calculating cluster 3
Calculating cluster 4
Calculating cluster 5
Calculating cluster 6
Calculating cluster 7
Calculating cluster 8
Calculating cluster 9
Calculating cluster 10
Calculating cluster 11
Calculating cluster 12
Calculating cluster 13
Calculating cluster 14
Calculating cluster 15
Calculating cluster 16
Calculating cluster 17
Calculating cluster 18
Calculating cluster 19
Calculating cluster 20
Calculating cluster 21
Calculating cluster 22
Calculating cluster 23
Calculating cluster 24
rna_maker_genes3<-rna.markers3%>% group_by(cluster) %>% top_n(n = N_genes, wt = avg_logFC)

common_marker_genes_idx3<-intersect(marker_genes[,2],rna_maker_genes3$gene)
myplot = DotPlot(rna,features = common_marker_genes_idx3
        ,cols = c("gray", "blue")) +coord_flip()
---
title: " scMoC: Single-Cell Multi-omics clustering "
output: html_notebook
---
R Notebook, showing the functionality of the scMoC for clustering multi-omics data specifically for scRNA-seq data and scATAC-seq data for paired datasets (i.e. measured for exact same cell). This notebook used sci-CAR data for Mouse kideny as example to work on. Other notebooks shows the same flow on different datasets. 

### 1- Let's start 
We start with loading the scMoC functions as well as libraries needed to process this notebook

```{r}
# Load dependencies
if (!require("pacman")) install.packages("pacman")
pacman::p_load(Seurat,dplyr,patchwork,repr,Matrix,qdapTools,FNN,
               ggplot2,gplots,broman,BiocManager,limma,mclust,
               cluster,OmicsMarkeR,abind,corrplot,svglite,EnhancedVolcano)
source("R/scmoc.R")
marker_genes <- read.csv("R/marker_genes_list.csv",header = FALSE,stringsAsFactors=FALSE)

white <- brocolors("crayons")["White"]
blue <- brocolors("crayons")["Cerulean"]
my_palette<- colorRampPalette(c(white,blue))(n=100)
```

Some globale variable definitions 
```{r}
# sci-CAR Variables 
MinCellsGenes = 3
MinFeat       = 200
MinCellsPeaks = 3
N_PCs         = 20
N_Neighbours  = 50
Max_N_PCs     = 20
impute_NN     = 50
N_PC	      = 20
N_LSI	      = 20
N_genes       = 25 
N_peaks       = 15
RNA_clusters_res  = 0.8 
ATAC_clusters_res = 0.8
```


### 2- Load the data files

Read the sci-CAR data (The files can be downloaded from https://www.ncbi.nlm.nih.gov/geo/query/acc.cgi?acc=GSE117089)
```{r}
##------------- Reading Raw Files -------------------------------------------------------
print ("Reading RNA files", quote=FALSE)

rna_count_data  <- read.csv("GSM3271044_RNA_mouse_kidney_gene_count.txt",header = FALSE,skip = 2,sep = " ")
print (c("RNA Files -> Count data: ",nrow(rna_count_data)), quote=FALSE)

rna_cell_data <- read.csv("GSM3271044_RNA_mouse_kidney_cell.txt", header=TRUE)
print (c("RNA Files -> Count data: ",nrow(rna_cell_data)), quote=FALSE)

rna_gene_data <- read.csv("GSM3271044_RNA_mouse_kidney_gene.txt",header = TRUE)
print (c("RNA Files -> Count data: ",nrow(rna_gene_data)), quote=FALSE)

tmp_rna <- matrix(0L, nrow = nrow(rna_gene_data),ncol = nrow(rna_cell_data))

print(c("Creating Zero Matrix with dim : ", dim(tmp_rna)),quote = FALSE)

for (i in 1:nrow(rna_count_data)){
  tmp_rna[rna_count_data[i,1],rna_count_data[i,2]] =  rna_count_data[i,3]
  }
print(c("RNA Files -> Data Sparsity = ", round(
  nrow(rna_count_data)*100/(nrow(rna_cell_data) * nrow(rna_gene_data)),2),"%"),quote=FALSE)

rna_sparce_mat <- Matrix(tmp_rna, sparse = TRUE)
colnames(rna_sparce_mat) <- rna_cell_data[,1]
rownames(rna_sparce_mat) <- rna_gene_data[,3]


## Reading ATAC files 
print ("Reading ATAC files", quote=FALSE)

atac_count_data  <- read.csv("GSM3271045_ATAC_mouse_kidney_peak_count.txt",header = FALSE,skip = 2,sep = " ")
print (c("ATAC Files -> Count data: ",nrow(atac_count_data)), quote=FALSE)

atac_cell_data <- read.csv("GSM3271045_ATAC_mouse_kidney_cell.txt", header=TRUE)
print (c("ATAC Files -> Count data: ",nrow(atac_cell_data)), quote=FALSE)

atac_gene_data <- read.csv("GSM3271045_ATAC_mouse_kidney_peak.txt",header = TRUE)
print (c("ATAC Files -> Count data: ",nrow(atac_gene_data)), quote=FALSE)

tmp_atac <- matrix(0L, nrow = nrow(atac_gene_data),ncol = nrow(atac_cell_data))
print(c("Creating Zero Matrix with dim : ", dim(tmp_atac)),quote = FALSE)

for (i in 1:nrow(atac_count_data)){
  tmp_atac[atac_count_data[i,1],atac_count_data[i,2]] =  atac_count_data[i,3]
  }
  
print(c("ATAC Files -> Data Sparsity = ", round(
  nrow(atac_count_data)*100/(nrow(atac_cell_data) * nrow(atac_gene_data)),2),"%"),quote=FALSE)

atac_sparce_mat <- Matrix(tmp_atac, sparse = TRUE)
colnames(atac_sparce_mat) <- atac_cell_data[,1]
rownames(atac_sparce_mat) <- atac_gene_data[,3]


## Find The Common Cells and Create Seurat Objects 

# Finding the Common Cells 
common_cells <-intersect(colnames(rna_sparce_mat), colnames(atac_sparce_mat))

# Creat Seuart Object for RNA
rna <- CreateSeuratObject(count=rna_sparce_mat[,common_cells], project = "sciCAR",
                            min.cells = MinCellsGenes, min.features = MinFeat)

# Creat Seurat Object for ATAC
atac <- CreateSeuratObject(count=atac_sparce_mat[,common_cells], project = "sciCAR",
                             min.cells = MinCellsPeaks)


  
```

### 3- Quality Control Step 
Visualize QC metrics as a violin plot for RNA data 
```{r}
#Calculate the percentage of Mitrocondrial genes in the cell 
rna[["percent.mt"]] <- PercentageFeatureSet(rna, pattern = "^mt-")

# Visualize QC metrics as a violin plot for RNA data 
VlnPlot(rna, features = c("nFeature_RNA", "nCount_RNA", "percent.mt"), ncol = 3)

```

```{r}
plot1 <- FeatureScatter(rna, feature1 = "nCount_RNA", feature2 = "percent.mt")
plot2 <- FeatureScatter(rna, feature1 = "nCount_RNA", feature2 = "nFeature_RNA")
plot1+plot2
```

Visualize QC metrics as a violin plot for ATAC data 
```{r}
# Visualize QC metrics as a violin plot
VlnPlot(atac, features = c("nFeature_RNA", "nCount_RNA"), ncol = 2)
```


According to the figures we set the thresholds of the data as follows : 

First for RNA: 

1- Remove cells that contains more than 30% Mito Data

2- Remove cells that have less than 200 different genes [almost empty cells]

3- Remove cells that have more than 2500 different genes[noisy cells]
      
```{r}
rna <- subset(rna, subset = nFeature_RNA > 200 & nFeature_RNA < 2500 & percent.mt < 30)
```
Second for ATAC

1- Remove cells that have less than 4000 different peaks [almost empty cells]

2- Remove cells that have more than 10000 different peaks[noisy cells]

```{r}
atac <- subset(atac, subset = nFeature_RNA < 4000 & nCount_RNA < 10000 )
```

Select only common cells that passes both QC task
```{r}
common_cells <-intersect(colnames(rna), colnames(atac))
rna <- rna[,common_cells]
atac <- atac[,common_cells]
```



### 4- Process the RNA data 
```{r}
# 1- Normailize
print("RNA Data: Making Normailization")
rna <- NormalizeData(rna, normalization.method = "LogNormalize", scale.factor = 10000)

# 2- Select Top variable genes 
print("RNA Data: Finding Top Variable Genes")
rna <- FindVariableFeatures(rna, selection.method = "vst", nfeatures = 6000)

# 3- Do the processing 
print("RNA Data: Going to Processing function ")
rna <- process.object(rna,do_scaling = TRUE)

# 4- Do PCA on the highly Variable genes only 
print("RNA Data: Going to Processing function ")
rna <- RunPCA(rna, features = VariableFeatures(object = rna))

# 5- Cluster the RNA data 
rna <- FindNeighbors(rna, dims = 1:N_PCs,k.param=N_Neighbours)
rna <- FindClusters(rna, resolution = RNA_clusters_res,algorithm = 1)

# 6- Project to the UMAP 
rna <- RunUMAP(rna, dims = 1:N_PCs)
options(repr.plot.width=6 , repr.plot.height=6)
DimPlot(rna, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

```


### 5- Process the ATAC data
```{r}
# 1- Normailize
print("ATAC Data: Making Normailization")
atac <- NormalizeData(atac, normalization.method = "LogNormalize", scale.factor = 10000)
# 2- Do the processing 
print("ATAC Data: Going to Processing function ")
atac <- process.object(atac,do_scaling = TRUE, do_PCA = TRUE, do_LSI = TRUE)


# 3 - Cluster the ATAC data 
atac <- FindNeighbors(atac, dims = 1:N_PCs,k.param=N_Neighbours,reduction ='lsi' )
atac <- FindClusters(atac, resolution = ATAC_clusters_res,algorithm = 1)
table(atac$seurat_clusters)


#Copy the clustering output to another meta data location to avoid overwritting 
atac$seurat_clusters_lsi <- atac$seurat_clusters

# 4- Project to the UMAP 
atac <- RunUMAP(atac, dims = 1:N_PCs,reduction = "lsi")
DimPlot(atac, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

# 5- Re-color the ATAC UMAP with the RNA cluster

atac$orig_clusters <- atac$seurat_clusters
atac@active.ident<- rna$seurat_clusters

# Plot the UMAP 
DimPlot(atac, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()
atac$active.ident <- atac$orig_clusters
```

### 6- Impute ATAC data using RNA-guided imputation

```{r}
# 1- Do imputation 
pca_embeed <- Embeddings(rna)
out =knn.index(pca_embeed, k=impute_NN)

print("ATAC RNA-PCA Impute: Doing the imputation ")
atac_impute <- GetAssayData(atac)                    #Create zero array with the same dim. of the data
atac_data <- GetAssayData(atac)

atac_impute <- do.imputation(out,atac_data,atac_impute)

# 2 - Do processing 
print("ATAC RNA-PCA Impute: Going to Processing function ")
atac_rna_guided <- CreateSeuratObject(count=atac_impute, project = "sciCAR")
atac_rna_guided<- process.object(atac_rna_guided, do_scaling = TRUE, do_PCA = TRUE, do_LSI = TRUE)

# 3- Measure Data sparsity 
x= sum(GetAssayData(atac_rna_guided$RNA)!=0)/ncol(atac_rna_guided)
y = 100/nrow(atac_rna_guided)
x*y

# 4- Cluster the RNA-guided imputed ATAC data 

atac_rna_guided <- FindNeighbors(atac_rna_guided, dims = 1:N_PCs,k.param=N_Neighbours,reduction ='lsi' )
atac_rna_guided <- FindClusters(atac_rna_guided, resolution = ATAC_clusters_res,algorithm = 1)


#Copy the clustering output to another meta data location to avoid overwritting 
atac_rna_guided$seurat_clusters_lsi <- atac_rna_guided$seurat_clusters

atac_rna_guided <- RunUMAP(atac_rna_guided, dims = 1:N_PCs,reduction = "lsi")
# 5- Draw the UMAP
DimPlot(atac_rna_guided, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

# 6- Recolor the RNA-guided imputed ATAC data with the RNA cluster
atac_rna_guided$orig_clusters <- atac_rna_guided$seurat_clusters
rna$orig_clusters <- rna$seurat_clusters
atac_rna_guided@active.ident<- rna$orig_clusters

DimPlot(atac_rna_guided, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()


# 7- Create contingency table between both data
my_table_0 <- table(rna$seurat_clusters, atac_rna_guided$seurat_clusters)
rna_atac_impute_table<- prop.table(my_table_0, margin = 1)   

```


### 7- Fine Tune the Clusters 
This is the Second major step of scMoC after imputing the Data , we fine tune the clusters

```{r}
splitting<-which(rna_atac_impute_table> 0.1 & rna_atac_impute_table<0.9,arr.ind = TRUE)

# add a col. for the new cluster information
splitting<-cbind(splitting,NA)
colnames(splitting)[3]<-'New_cluster'

rna@active.ident<-rna$orig_clusters
rna_tmp <- as.numeric(rna$orig_clusters)
atac_tmp <- as.numeric(atac_rna_guided$orig_clusters)
for (i in 1: nrow(splitting))
    {
    new_lvl <- max(as.numeric(rna$orig_clusters)) + i -1
    rna@active.ident <- factor(rna@active.ident,levels = c(levels(rna@active.ident),new_lvl))
    rna@active.ident[intersect(which(rna_tmp == splitting[i,1]),which(atac_tmp==splitting[i,2]))] <- as.factor(new_lvl)
        splitting[i,3]<-new_lvl
}

#calc. the Distances to every cluster
dims <- 1:N_PCs
dist.matrix <-dist(x = Embeddings(object = rna[['pca']])[, dims], upper = TRUE, diag = TRUE)
tmp_dist <- as.matrix(dist.matrix)
cluster_dist <- matrix(0,ncol = max(as.numeric(rna@active.ident)),nrow = nrow(tmp_dist))
for (i in 1 : max(as.numeric(rna@active.ident)))
{
    cluster_dist[,i] <- apply(tmp_dist[rna@active.ident==(i-1),],2,mean)
}

#itterate over the clusters 
for (i in 1:max(rna_tmp))
    {
    # Check if the cluster has been split or not 
    tmp_splitting = splitting[which(splitting[,'row']==i),]
    if (length(tmp_splitting)>3)            # Has more than 1 reading 
        {
        print(i)
        tmp_cluster = apply(cluster_dist[rna@active.ident == (i-1),tmp_splitting[,3]],1,which.min)
        final_cluster <- tmp_splitting[,3][tmp_cluster]
        rna@active.ident[rna@active.ident == (i-1)] <- final_cluster
        
    }else if(length(tmp_splitting)>0)
        {
        final_cluster<- tmp_splitting[3]
        rna@active.ident[rna@active.ident == (i-1)] <- final_cluster
    }
}

# Sort the new clusters according to cluster size
unsorted_table <- (table(rna@active.ident))
sorted_table<-sort(unsorted_table [unsorted_table!=0] , decreasing = T)
mapping_table <- rownames(as.matrix(sorted_table))
mapping_table<- cbind(mapping_table,0:(length(mapping_table)-1))

# Re-assign the cells to the new clusters 
for (i in 1:length(rna@active.ident))
    {
    tmp_cell<-rna@active.ident[i]
    rna@active.ident[i] <- mapping_table[which(mapping_table[,1] == tmp_cell),2]
}
#Setting the cluster numbers to the already used clusters only 

rna@active.ident <- factor(rna@active.ident,levels = 0: (nrow(mapping_table)-1))



# Draw the UMAP with the scMoC clusters colors 

DimPlot(rna, reduction = "umap",pt.size = 0.25, label = TRUE, label.size = 8)  + NoLegend()

```

### 8- Biological interpuration for the scMoC clsuters

```{r}
rna.markers3 <- FindAllMarkers(rna, only.pos = TRUE, min.pct = 0.25, logfc.threshold = 0.25)
rna_maker_genes3<-rna.markers3%>% group_by(cluster) %>% top_n(n = N_genes, wt = avg_logFC)

common_marker_genes_idx3<-intersect(marker_genes[,2],rna_maker_genes3$gene)
myplot = DotPlot(rna,features = common_marker_genes_idx3
        ,cols = c("gray", "blue")) +coord_flip()
```


